Pith Number

pith:2PFLPH3K

pith:2013:2PFLPH3KUKMBDA3W7BTSODHJQ7

not attested not anchored not stored refs pending

Random flights governed by Klein-Gordon-type partial differential equations

E. Orsingher, R. Garra

arxiv:1311.0128 v1 · 2013-11-01 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PFLPH3KUKMBDA3W7BTSODHJQ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:08:15.475497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cab79f6aa298118376f867270ce987e6919351ceec82768c77a4b7f506b40c

Aliases

arxiv: 1311.0128 · arxiv_version: 1311.0128v1 · doi: 10.48550/arxiv.1311.0128 · pith_short_12: 2PFLPH3KUKMB · pith_short_16: 2PFLPH3KUKMBDA3W · pith_short_8: 2PFLPH3K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2PFLPH3KUKMBDA3W7BTSODHJQ7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d3cab79f6aa298118376f867270ce987e6919351ceec82768c77a4b7f506b40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377aa2c7a9d238d532d394f405c677c60133bba304e7fd29a2bc821734e3ea86",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-01T09:44:36Z",
    "title_canon_sha256": "99fa112ecee37018364b087e7e3076990bbb261fc9aca6abc4170ba45f8409a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0128",
    "kind": "arxiv",
    "version": 1
  }
}